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Author ID: song.guangjing Recent zbMATH articles by "Song, Guangjing"
Published as: Song, Guang-Jing; Song, Guangjing; Song, Guang Jing

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 352 times in 200 Documents Cited by Year
Robust quaternion matrix completion with applications to image inpainting. Zbl 1474.65126
Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing
38
2019
Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field. Zbl 1217.15020
Song, Guang-Jing; Wang, Qing-Wen; Chang, Hai-Xia
34
2011
Robust tensor completion using transformed tensor singular value decomposition. Zbl 07217207
Song, Guangjing; Ng, Michael K.; Zhang, Xiongjun
29
2020
Condensed Cramer rule for some restricted quaternion linear equations. Zbl 1248.15016
Song, Guang-Jing; Wang, Qing-Wen
27
2011
Lanczos method for large-scale quaternion singular value decomposition. Zbl 07107363
Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing
24
2019
Cramer’s rule for a system of quaternion matrix equations with applications. Zbl 1427.15019
Song, Guangjing; Wang, Qingwen; Yu, Shaowen
22
2018
Extreme ranks of the solution to a consistent system of linear quaternion matrix equations with an application. Zbl 1124.15010
Wang, Qing-Wen; Song, Guang-Jing; Lin, Chun-Yan
20
2007
Maximal and minimal ranks of the common solution of some linear matrix equations over an arbitrary division ring with applications. Zbl 1176.15020
Wang, Qingwen; Song, Guang Jing; Liu, Xin
16
2009
A new solvable condition for a pair of generalized Sylvester equations. Zbl 1190.15019
Wang, Qing-Wen; Zhang, Hua-Sheng; Song, Guang-Jing
15
2009
(\(R,S\))-conjugate solution to a pair of linear matrix equations. Zbl 1201.15006
Chang, Hai-Xia; Wang, Qing-Wen; Song, Guang-Jing
14
2010
Characterization of the \(W\)-weighted Drazin inverse over the quaternion skew field with applications. Zbl 1283.15019
Song, Guang Jing
14
2013
New results on condensed Cramer’s rule for the general solution to some restricted quaternion matrix equations. Zbl 1360.65129
Song, Guang-Jing; Dong, Chang-Zhou
12
2017
Determinantal representation of the generalized inverses over the quaternion skew field with applications. Zbl 1302.15007
Song, Guang-Jing
11
2012
Bott-Duffin inverse over the quaternion skew field with applications. Zbl 1298.15011
Song, Guang-Jing
9
2013
Nonnegative low rank matrix approximation for nonnegative matrices. Zbl 1436.65056
Song, Guang-Jing; Ng, Michael K.
9
2020
Minimal ranks of some quaternion matrix expressions with applications. Zbl 1204.15005
Ali Khan, Israr; Wang, Qing-Wen; Song, Guang-Jing
8
2010
Rank equalities related to the generalized inverse \(A^{(2)}_{T,S}\) with applications. Zbl 1159.15006
Wang, Qing-Wen; Song, Guang-Jing; Lin, Chun-Yan
6
2008
Low rank pure quaternion approximation for pure quaternion matrices. Zbl 1510.65086
Song, Guangjing; Ding, Weiyang; Ng, Michael K.
6
2021
Cramer’s rule for the general solution to a restricted system of quaternion matrix equations. Zbl 1439.15006
Song, Guang-Jing; Yu, Shao-Wen
6
2019
Boundary effect on the elastic field of a semi-infinite solid containing inhomogeneities. Zbl 1371.74071
Liu, Y. J.; Song, G.; Yin, H. M.
5
2015
The solution of a generalized Sylvester quaternion matrix equation and its application. Zbl 1382.15024
Song, Guang-Jing; Yu, Shaowen
5
2017
Nonlinear structural vibration suppression using dynamic neural network observer and adaptive fuzzy sliding mode control. Zbl 1269.74171
Li, L.; Song, G.; Ou, J.
5
2010
Positive and re-positive solutions to some systems of adjointable operator equations over Hilbert \(C^\ast\)-modules. Zbl 1264.47022
Song, Guang Jing; Wang, Qing Wen
4
2011
Determinantal representations of the generalized inverses \(A_{T,S}^{(2)}\) over the quaternion skew field with applications. Zbl 1295.15004
Song, Guang-Jing
3
2012
On the weighted least-squares, the ordinary least-squares and the best linear unbiased estimators under a restricted growth curve model. Zbl 1297.62053
Song, Guang Jing; Wang, Qing Wen
3
2014
Nonnegative definite and re-nonnegative definite solutions to a system of matrix equations with statistical applications. Zbl 1427.15020
Song, Guangjing; Yu, Shaowen
3
2018
Active multimodal vibration suppression of a flexible structure with piezoceramic sensor and actuator by using loop shaping. Zbl 1271.74349
Sethi, V.; Franchek, M. A.; Song, G.
3
2011
Common solutions to some operator equations over Hilbert \(C^{\ast}\)-modules and applications. Zbl 1315.47015
Song, Guang-Jing
2
2014
A genetic algorithm-based two-phase design for optimal placement of semi-active dampers for nonlinear benchmark structure. Zbl 1269.74170
Li, L.; Song, G.; Ou, J.
2
2010
Determinantal expression of the general solution to a restricted system of quaternion matrix equations with applications. Zbl 1394.15009
Song, Guang-Jing
2
2018
An approximate augmented Lagrangian method for nonnegative low-rank matrix approximation. Zbl 1476.90318
Zhu, Hong; Ng, Michael K.; Song, Guang-Jing
2
2021
Common nonnegative definite solutions of some classical matrix equations. Zbl 1391.15060
Song, Guang-Jing; Chen, Ming
1
2014
\(\mathrm G\)-positive and \(\mathrm G\)-repositive solutions to some adjointable operator equations over Hilbert \(C^{\ast}\)-modules. Zbl 1312.47021
Song, G. J.
1
2013
On the best linear unbiased estimator and the linear sufficiency of a general growth curve model. Zbl 1213.62100
Song, Guang-Jing
1
2011
A new expression of the Hermitian solutions to a system of matrix equations with applications. Zbl 1347.15022
Song, Guangjing; Yu, Shaowen; Chen, Ming
1
2016
Tensor completion by multi-rank via unitary transformation. Zbl 1514.15037
Song, Guang-Jing; Ng, Michael K.; Zhang, Xiongjun
1
2023
Equalities of various estimators in the general growth curve model and the restricted growth curve model. Zbl 1328.62137
Song, Guangjing; Chang, Haixia
1
2016
Nonnegative low rank tensor approximations with multidimensional image applications. Zbl 07643518
Jiang, Tai-Xiang; Ng, Michael K.; Pan, Junjun; Song, Guang-Jing
1
2023
The block independence in the generalized inverse \(A_{T,S}(2)\) for some ordered matrices and applications. Zbl 1410.15013
Song, Guang-Jing; Yu, Shaowen
1
2014
Riemannian conjugate gradient descent method for fixed multi rank third-order tensor completion. Zbl 1501.15020
Song, Guang-Jing; Wang, Xue-Zhong; Ng, Michael K.
1
2023
Tensor completion by multi-rank via unitary transformation. Zbl 1514.15037
Song, Guang-Jing; Ng, Michael K.; Zhang, Xiongjun
1
2023
Nonnegative low rank tensor approximations with multidimensional image applications. Zbl 07643518
Jiang, Tai-Xiang; Ng, Michael K.; Pan, Junjun; Song, Guang-Jing
1
2023
Riemannian conjugate gradient descent method for fixed multi rank third-order tensor completion. Zbl 1501.15020
Song, Guang-Jing; Wang, Xue-Zhong; Ng, Michael K.
1
2023
Low rank pure quaternion approximation for pure quaternion matrices. Zbl 1510.65086
Song, Guangjing; Ding, Weiyang; Ng, Michael K.
6
2021
An approximate augmented Lagrangian method for nonnegative low-rank matrix approximation. Zbl 1476.90318
Zhu, Hong; Ng, Michael K.; Song, Guang-Jing
2
2021
Robust tensor completion using transformed tensor singular value decomposition. Zbl 07217207
Song, Guangjing; Ng, Michael K.; Zhang, Xiongjun
29
2020
Nonnegative low rank matrix approximation for nonnegative matrices. Zbl 1436.65056
Song, Guang-Jing; Ng, Michael K.
9
2020
Robust quaternion matrix completion with applications to image inpainting. Zbl 1474.65126
Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing
38
2019
Lanczos method for large-scale quaternion singular value decomposition. Zbl 07107363
Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing
24
2019
Cramer’s rule for the general solution to a restricted system of quaternion matrix equations. Zbl 1439.15006
Song, Guang-Jing; Yu, Shao-Wen
6
2019
Cramer’s rule for a system of quaternion matrix equations with applications. Zbl 1427.15019
Song, Guangjing; Wang, Qingwen; Yu, Shaowen
22
2018
Nonnegative definite and re-nonnegative definite solutions to a system of matrix equations with statistical applications. Zbl 1427.15020
Song, Guangjing; Yu, Shaowen
3
2018
Determinantal expression of the general solution to a restricted system of quaternion matrix equations with applications. Zbl 1394.15009
Song, Guang-Jing
2
2018
New results on condensed Cramer’s rule for the general solution to some restricted quaternion matrix equations. Zbl 1360.65129
Song, Guang-Jing; Dong, Chang-Zhou
12
2017
The solution of a generalized Sylvester quaternion matrix equation and its application. Zbl 1382.15024
Song, Guang-Jing; Yu, Shaowen
5
2017
A new expression of the Hermitian solutions to a system of matrix equations with applications. Zbl 1347.15022
Song, Guangjing; Yu, Shaowen; Chen, Ming
1
2016
Equalities of various estimators in the general growth curve model and the restricted growth curve model. Zbl 1328.62137
Song, Guangjing; Chang, Haixia
1
2016
Boundary effect on the elastic field of a semi-infinite solid containing inhomogeneities. Zbl 1371.74071
Liu, Y. J.; Song, G.; Yin, H. M.
5
2015
On the weighted least-squares, the ordinary least-squares and the best linear unbiased estimators under a restricted growth curve model. Zbl 1297.62053
Song, Guang Jing; Wang, Qing Wen
3
2014
Common solutions to some operator equations over Hilbert \(C^{\ast}\)-modules and applications. Zbl 1315.47015
Song, Guang-Jing
2
2014
Common nonnegative definite solutions of some classical matrix equations. Zbl 1391.15060
Song, Guang-Jing; Chen, Ming
1
2014
The block independence in the generalized inverse \(A_{T,S}(2)\) for some ordered matrices and applications. Zbl 1410.15013
Song, Guang-Jing; Yu, Shaowen
1
2014
Characterization of the \(W\)-weighted Drazin inverse over the quaternion skew field with applications. Zbl 1283.15019
Song, Guang Jing
14
2013
Bott-Duffin inverse over the quaternion skew field with applications. Zbl 1298.15011
Song, Guang-Jing
9
2013
\(\mathrm G\)-positive and \(\mathrm G\)-repositive solutions to some adjointable operator equations over Hilbert \(C^{\ast}\)-modules. Zbl 1312.47021
Song, G. J.
1
2013
Determinantal representation of the generalized inverses over the quaternion skew field with applications. Zbl 1302.15007
Song, Guang-Jing
11
2012
Determinantal representations of the generalized inverses \(A_{T,S}^{(2)}\) over the quaternion skew field with applications. Zbl 1295.15004
Song, Guang-Jing
3
2012
Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field. Zbl 1217.15020
Song, Guang-Jing; Wang, Qing-Wen; Chang, Hai-Xia
34
2011
Condensed Cramer rule for some restricted quaternion linear equations. Zbl 1248.15016
Song, Guang-Jing; Wang, Qing-Wen
27
2011
Positive and re-positive solutions to some systems of adjointable operator equations over Hilbert \(C^\ast\)-modules. Zbl 1264.47022
Song, Guang Jing; Wang, Qing Wen
4
2011
Active multimodal vibration suppression of a flexible structure with piezoceramic sensor and actuator by using loop shaping. Zbl 1271.74349
Sethi, V.; Franchek, M. A.; Song, G.
3
2011
On the best linear unbiased estimator and the linear sufficiency of a general growth curve model. Zbl 1213.62100
Song, Guang-Jing
1
2011
(\(R,S\))-conjugate solution to a pair of linear matrix equations. Zbl 1201.15006
Chang, Hai-Xia; Wang, Qing-Wen; Song, Guang-Jing
14
2010
Minimal ranks of some quaternion matrix expressions with applications. Zbl 1204.15005
Ali Khan, Israr; Wang, Qing-Wen; Song, Guang-Jing
8
2010
Nonlinear structural vibration suppression using dynamic neural network observer and adaptive fuzzy sliding mode control. Zbl 1269.74171
Li, L.; Song, G.; Ou, J.
5
2010
A genetic algorithm-based two-phase design for optimal placement of semi-active dampers for nonlinear benchmark structure. Zbl 1269.74170
Li, L.; Song, G.; Ou, J.
2
2010
Maximal and minimal ranks of the common solution of some linear matrix equations over an arbitrary division ring with applications. Zbl 1176.15020
Wang, Qingwen; Song, Guang Jing; Liu, Xin
16
2009
A new solvable condition for a pair of generalized Sylvester equations. Zbl 1190.15019
Wang, Qing-Wen; Zhang, Hua-Sheng; Song, Guang-Jing
15
2009
Rank equalities related to the generalized inverse \(A^{(2)}_{T,S}\) with applications. Zbl 1159.15006
Wang, Qing-Wen; Song, Guang-Jing; Lin, Chun-Yan
6
2008
Extreme ranks of the solution to a consistent system of linear quaternion matrix equations with an application. Zbl 1124.15010
Wang, Qing-Wen; Song, Guang-Jing; Lin, Chun-Yan
20
2007
all top 5

Cited by 253 Authors

30 Wang, Qingwen
29 Kyrchei, Ivan I.
23 Song, Guangjing
14 He, ZhuoHeng
14 Ng, Michael Kwok-Po
9 Stanimirović, Predrag S.
9 Yu, Shaowen
7 Li, Ying
7 Mosić, Dijana
7 Zhao, Xile
6 Zhang, Xiongjun
5 Chang, Haixia
5 Dong, Changzhou
5 Huang, Ting-Zhu
5 Jia, Zhigang
5 Liu, Xin
5 Ma, Haifeng
5 Rehman, Abdur
5 Wang, Xiangxiang
4 Ding, Wenxv
4 Hajarian, Masoud
4 Liu, Qiaohua
4 Wei, Anli
4 Zhang, Xiang
4 Zhang, Yang
4 Zhao, Jianli
3 Ali, Ilyas
3 Chen, Guoliang
3 Dehghan Takht Fooladi, Mehdi
3 Ji, Teng-Yu
3 Li, Ben-Zheng
3 Ling, Chen
3 Liu, Lina
3 Ma, Changfeng
3 Matveev, Sergey A.
3 Pan, Junjun
3 Qi, Liqun
3 Qiu, Duo
3 Shakoor, Abdul
3 Wang, Xuezhong
3 Yuan, Shifang
2 Ahmadi-Asl, Salman
2 Bai, Minru
2 Bai, Zhengjian
2 Budzinskiy, Stanislav S.
2 Chen, Yannan
2 Cong, Zhanlei
2 Fang, Xiaochun
2 Farid, Farid O.
2 Gao, Kaixin
2 He, Hongjin
2 Huang, Zheng-Hai
2 Jiang, Jing
2 Ke, Yifen
2 Li, Ning
2 Li, Tao
2 Lin, Chunyan
2 Liu, Longsheng
2 Liu, Xuan
2 Lu, Jian
2 Lyu, Chengyao
2 Ma, Ru-Ru
2 Nie, Xiangrong
2 Radenković, Jovana Nikolov
2 Van der Woude, Jacob Willem
2 Wang, Meng
2 Xie, Wenhui
2 Xu, Qingxiang
2 Xu, Weiru
2 Yu, Juan
2 Yuan, Yongxin
2 Zhang, Fengxia
2 Zhang, Huiting
2 Zhang, Mingcui
2 Zhang, Xinzhen
2 Zhang, Yuping
2 Zhao, Meixiang
2 Zheng, Yubang
2 Zhu, Hong
1 Ackora-Prah, Joseph
1 Ali Khan, Israr
1 Álvarez, Rafael
1 Bao, Yubao
1 Barnes, Benedict
1 Bayoumi, Ahmed M. E.
1 Biswas, Anjan
1 Che, Maolin
1 Chen, Hefeng
1 Chen, Junren
1 Chen, Sheng
1 Chen, Xinyu
1 Chen, Yinlan
1 Cichocki, Andrzej
1 Cvetković-Ilić, Dragana S.
1 Dai, Lifang
1 Ding, Wei
1 Ding, Weiyang
1 Duan, Shan-Qi
1 Duan, Xuefeng
1 Ebadi, Ghodrat
...and 153 more Authors
all top 5

Cited in 62 Serials

22 Applied Mathematics and Computation
17 Advances in Applied Clifford Algebras
15 Journal of Scientific Computing
13 Linear and Multilinear Algebra
10 Journal of Applied Mathematics and Computing
7 Journal of Applied Mathematics
6 Numerical Algorithms
6 Algebra Colloquium
5 Journal of Computational and Applied Mathematics
5 Linear Algebra and its Applications
5 Computational and Applied Mathematics
5 Filomat
5 Mathematical Problems in Engineering
4 Applied Mathematics Letters
4 Journal of Industrial and Management Optimization
4 SIAM Journal on Imaging Sciences
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Computers & Mathematics with Applications
3 Journal of the Franklin Institute
3 SIAM Journal on Matrix Analysis and Applications
3 ELA. The Electronic Journal of Linear Algebra
3 Abstract and Applied Analysis
3 AIMS Mathematics
2 Inverse Problems
2 BIT
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Journal of Mathematics
2 Communications on Applied Mathematics and Computation
1 Communications in Algebra
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Optimization Theory and Applications
1 Journal of Statistical Planning and Inference
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Bulletin of the Korean Mathematical Society
1 Applied Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Mathematical and Computer Modelling
1 Machine Learning
1 Applied Mathematical Modelling
1 SIAM Journal on Optimization
1 SIAM Journal on Scientific Computing
1 Applied and Computational Harmonic Analysis
1 Statistical Papers
1 Journal of the Egyptian Mathematical Society
1 Advances in Computational Mathematics
1 Taiwanese Journal of Mathematics
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Central European Journal of Mathematics
1 Quantum Information Processing
1 Hacettepe Journal of Mathematics and Statistics
1 Complex Variables and Elliptic Equations
1 Inverse Problems and Imaging
1 Banach Journal of Mathematical Analysis
1 Tbilisi Mathematical Journal
1 Advances in Applied Mathematics and Mechanics
1 Journal of Applied Analysis and Computation
1 International Journal of Analysis
1 Special Matrices
1 Information Geometry
1 SIAM Journal on Mathematics of Data Science

Citations by Year